Audited 05 Aug 2026·Last updated 08 Aug 2026·3 citations·Tier 2·0 uses

Ductwork Sizing Calculator

Ductwork Sizing Calculator: derive duct cross-sectional area from airflow and target velocity, then convert that area to round diameter or rectangular width.

Ductwork Sizing Calculator

Required duct area
1.1429
Required duct area under the page's named hvac convention.
Equivalent round diameter
14.4755
Rectangular width at entered aspect ratio
18.1423

Background.

This ductwork sizing page is built to derive duct cross-sectional area from airflow and target velocity, then convert that area to round diameter or rectangular width. For width-to-height ratio r, rectangular width is the square root of area times r; the ratio is not multiplied a second time. The implemented convention is “area = airflow ÷ velocity; round diameter = √(4A ÷ π); rectangular width = √(A × width-to-height ratio).”

The editable entries are design airflow, target duct velocity, rectangular duct width-to-height ratio. Use values from the document or measurement that governs this ductwork sizing question; the defaults are only the worked fixture below. Velocity-only sizing does not check friction loss, equivalent length, fittings, static pressure, noise or Manual D balancing. If that ductwork sizing condition is not true, choose a calculation that models the missing convention.

Air Conditioning Contractors of America, Manual D; residential duct-system design documents the convention or governing rule used here. The ductwork sizing output is a transparent scenario under those facts: it does not manufacture an unentered market price, professional determination, carrier quote, legal eligibility finding or locally adopted code value.

What is ductwork sizing calculator?

Ductwork Sizing is the relationship behind this decision: for width-to-height ratio r, rectangular width is the square root of area times r; the ratio is not multiplied a second time. On this page it means area = airflow ÷ velocity; round diameter = √(4A ÷ π); rectangular width = √(A × width-to-height ratio). Velocity-only sizing does not check friction loss, equivalent length, fittings, static pressure, noise or Manual D balancing; that is the line between the reported quantity and a broader hvac analysis.

How to use this calculator.

  1. Confirm that “area = airflow ÷ velocity; round diameter = √(4A ÷ π); rectangular width = √(A × width-to-height ratio)” matches the ductwork sizing convention you need.
  2. Replace the fixture values for design airflow, target duct velocity, rectangular duct width-to-height ratio with dated values from the governing record.
  3. Keep all currencies, measurement units and time periods on the same basis before calculating.
  4. Read required duct area together with this boundary: Velocity-only sizing does not check friction loss, equivalent length, fittings, static pressure, noise or Manual D balancing.

The formula.

area = airflow ÷ velocity; round diameter = √(4A ÷ π); rectangular width = √(A × width-to-height ratio)

The calculation uses area = airflow ÷ velocity; round diameter = √(4A ÷ π); rectangular width = √(A × width-to-height ratio). In this ductwork sizing model, the entered terms are design airflow, target duct velocity, rectangular duct width-to-height ratio. For width-to-height ratio r, rectangular width is the square root of area times r; the ratio is not multiplied a second time, which is why the relationship is presented under this name rather than as a universal alternative. Velocity-only sizing does not check friction loss, equivalent length, fittings, static pressure, noise or Manual D balancing. Calculations keep full decimal precision through the relationship and round only the returned display values.

A worked example.

Example

Enter the example facts as Design airflow = 800; Target duct velocity = 700; Rectangular duct width-to-height ratio = 2. The formula “area = airflow ÷ velocity; round diameter = √(4A ÷ π); rectangular width = √(A × width-to-height ratio)” then reconciles them to Required duct area = 1.1428571429; Equivalent round diameter = 14.4754568422; Rectangular width at entered aspect ratio = 18.1422947044. You can audit the 1.1428571429 primary result by carrying the raw products, ratios and limits through to the final line before formatting. For width-to-height ratio r, rectangular width is the square root of area times r; the ratio is not multiplied a second time. Velocity-only sizing does not check friction loss, equivalent length, fittings, static pressure, noise or Manual D balancing.

airflow Cfm800
aspect Ratio2
target Velocity Fpm700

Frequently asked questions.

What exactly does the required duct area represent?
For Ductwork Sizing, it represents the result of area = airflow ÷ velocity; round diameter = √(4A ÷ π); rectangular width = √(A × width-to-height ratio) under the entered facts. For width-to-height ratio r, rectangular width is the square root of area times r; the ratio is not multiplied a second time; the 1.1428571429 fixture should be read on that basis.
Which ductwork sizing convention does this page choose?
It chooses “area = airflow ÷ velocity; round diameter = √(4A ÷ π); rectangular width = √(A × width-to-height ratio).” That ductwork sizing variant is supported by Air Conditioning Contractors of America, Manual D; residential duct-system design; a governing contract, policy, tax year or locally adopted rule that specifies another treatment must take priority.
What is the easiest way to get this ductwork sizing result wrong?
Velocity-only sizing does not check friction loss, equivalent length, fittings, static pressure, noise or Manual D balancing. Check that ductwork sizing issue before interpreting the output or comparing it with another model.
Can the worked ductwork sizing example be checked without this site?
Yes. Use Design airflow = 800; Target duct velocity = 700; Rectangular duct width-to-height ratio = 2, follow area = airflow ÷ velocity; round diameter = √(4A ÷ π); rectangular width = √(A × width-to-height ratio), and compare your final figures with Required duct area = 1.1428571429; Equivalent round diameter = 14.4754568422; Rectangular width at entered aspect ratio = 18.1422947044. Keep the ductwork sizing intermediates unrounded so formatting does not create a false difference.

How this page was produced

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Quanta Calculator
Primary sources
3 cited below
Method
area = airflow ÷ velocity; round diameter = √(4A ÷ π); rectangular width = √(A × width-to-height ratio)
Published
Last verified

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